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Time correlations and the second entropy.

Angus Gray-Weale1, Phil Attard

  • 1School of Chemistry F11, University of Sydney, New South Wales 2006, Australia.

The Journal of Chemical Physics
|August 4, 2007
PubMed
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This study calculates transport coefficients and entropies in Lennard-Jones fluid simulations. It reveals the crucial role of second entropy in linking fluctuations and response, offering improved calculation methods.

Area of Science:

  • Thermodynamics and Statistical Mechanics
  • Computational Physics
  • Fluid Dynamics

Background:

  • Understanding mass and heat transport is crucial in fluid dynamics.
  • Entropy provides insights into system dynamics and fluctuations.
  • Previous methods for calculating entropy and transport coefficients have limitations.

Purpose of the Study:

  • To calculate transport coefficients and both first and second entropies for a Lennard-Jones fluid.
  • To elucidate the physical significance of second entropy in connecting dynamic fluctuations with system response.
  • To develop an improved method for calculating the first entropy and address limitations in existing approximations.

Main Methods:

  • Simulations of a Lennard-Jones fluid.
  • Calculation of transport coefficients and entropies using time correlation functions.

Related Experiment Videos

  • Analysis of the contributions to second entropy and their behavior under steady-state flow.
  • Investigation of coupling effects in the transport matrix.

    • Main Results:

    • Demonstrated calculation of transport coefficients, first entropy, and second entropy.
    • Established the role of second entropy in explaining the link between dynamic fluctuations and response.
    • Identified breakdown of common first entropy approximations and proposed an improved method.
    • Highlighted the importance of coupling between variables of opposite time parity in the transport matrix.

    Conclusions:

    • The second entropy offers a physical explanation for the relationship between dynamic fluctuations and response.
    • An improved method for first entropy calculation is presented, overcoming limitations of common approximations.
    • Coupling between variables of opposite time parity in the transport matrix is significant and cannot be generally neglected.